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Finding the Third Proportional to 133,043,968 and 199,023,456

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Solution

The third proportional to 133,043,968 and 199,023,456 is: 297,723,652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,043,968 : 199,023,456 = 199,023,456 : x
  2. Step 2: Convert to fraction form
    133,043,968/199,023,456 = 199,023,456/x
  3. Step 3: Cross multiply
    133,043,968x = 199,023,456 × 199,023,456
  4. Step 4: Simplify right side
    133,043,968x = 39,610,336,038,183,936
  5. Step 5: Solve for x
    x = 39,610,336,038,183,936/133,043,968
  6. Step 6: Final answer
    x = 297,723,652.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.